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132141011413230 = 232567110871976543
BaseRepresentation
bin11110000010111001111010…
…000010111010100011101110
3122022212120001021201010121100
4132002321322002322203232
5114304444242410210410
61145012424222543530
736555605306353461
oct3602717202724356
9568776037633540
10132141011413230
1139116763040956
12129a1991437ba6
135896ac80b35c1
14248b9327192d8
151042456e808c0
hex782e7a0ba8ee

132141011413230 has 96 divisors (see below), whose sum is σ = 348726117003264. Its totient is φ = 34708520265408.

The previous prime is 132141011413223. The next prime is 132141011413241. The reversal of 132141011413230 is 32314110141231.

132141011413230 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 4 + 1 + 0 + 11 + 413 + 230 = 666.

132141011413230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1321410114132302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132141011413194 and 132141011413203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65866339 + ... + 67842881.

It is an arithmetic number, because the mean of its divisors is an integer number (3632563718784).

Almost surely, 2132141011413230 is an apocalyptic number.

132141011413230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132141011413230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174363058501632).

132141011413230 is an abundant number, since it is smaller than the sum of its proper divisors (216585105590034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132141011413230 is a wasteful number, since it uses less digits than its factorization.

132141011413230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987710 (or 1987707 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 132141011413230 its reverse (32314110141231), we get a palindrome (164455121554461).

The spelling of 132141011413230 in words is "one hundred thirty-two trillion, one hundred forty-one billion, eleven million, four hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 2010 3015 6030 11087 22174 33261 55435 66522 99783 110870 166305 199566 332610 498915 742829 997830 1485658 1976543 2228487 3714145 3953086 4456974 5929629 6685461 7428290 9882715 11142435 11859258 13370922 17788887 19765430 22284870 29648145 33427305 35577774 59296290 66854610 88944435 132428381 177888870 264856762 397285143 662141905 794570286 1191855429 1324283810 1986425715 2383710858 3972851430 5959277145 11918554290 21913932241 43827864482 65741796723 109569661205 131483593446 197225390169 219139322410 328708983615 394450780338 657417967230 986126950845 1468233460147 1972253901690 2936466920294 4404700380441 7341167300735 8809400760882 13214101141323 14682334601470 22023501902205 26428202282646 44047003804410 66070505706615 132141011413230